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Finding the Fourth Proportional to 11,009.96, 16,514.34 and 3,613.44

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Solution

The fourth proportional to 11,009.96, 16,514.34 and 3,613.44 is: 5,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.96 : 16,514.34 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    11,009.96/16,514.34 = 3,613.44/x
  3. Step 3: Cross multiply
    11,009.96x = 16,514.34 × 3,613.44
  4. Step 4: Simplify right side
    11,009.96x = 59,673,576.73
  5. Step 5: Solve for x
    x = 59,673,576.73/11,009.96
  6. Step 6: Final answer
    x = 5,419.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.